Put it under pressure. Seal the kettle, pressurize it to several atmospheres (this is safe to do when it's only water, no airspace at all), then begin heating (this is not so safe).
As long as the temperature cannot exceed 105C or so, the partial pressure will not be much above atmospheric. So, if you open the kettle to atmospheric, the overpressure will be fairly gentle, so that it could be released into a modest surge tank or something, and voila, instant boiling water. It would even be self-propelled, if you put the vent at the bottom.
You're also guaranteed to get a good cup of tea, even on the top of Mt. Everest.....but you need to do the brewing while in the pressure chamber. It'll boil and splatter a whole lot if you just vent it at that altitude.
Tim